4 Equations, inequalities and graphs
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4.1 Solve equations of the type • |ax + b| = c (c ⩾ 0) • |ax + b| = cx + d • |ax + b| = |cx + d| • |ax 2 + bx + c| = d using algebraic or graphical methods
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4.1 Solve equations of the type • |ax + b| = c (c ⩾ 0) • |ax + b| = cx + d • |ax + b| = |cx + d| • |ax2 + bx + c| = d using algebraic or graphical methods. -
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4.1 Solve equations of the type • |ax + b| = c (c ⩾ 0) • |ax + b| = cx + d • |ax + b| = |cx + d| • |ax2 + bx + c| = d using algebraic or graphical methods.
Solve graphically or algebraically inequalities of the type • k|ax + b| > c (c ⩾ 0) • k|ax + b| ⩽ c (c > 0) • k|ax + b| ⩽ |cx + d| where k > 0 • |ax + b| ⩽ cx + d • |ax 2 + bx + c| > d
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4.2 Solve graphically or algebraically inequalities of the type • k|ax + b| > c (c ⩾ 0) • k|ax + b| ⩽ c (c > 0) • k|ax + b| ⩽ |cx + d| where k > 0 • |ax + b| ⩽ cx + d • |ax2 + bx + c| > d • |ax2 + bx + c| ⩽ d
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4.2 Solve graphically or algebraically inequalities of the type • k|ax + b| > c (c ⩾ 0) • k|ax + b| ⩽ c (c > 0) • k|ax + b| ⩽ |cx + d| where k > 0 • |ax + b| ⩽ cx + d • |ax2 + bx + c| > d • |ax2 + bx + c| ⩽ d
4.3 Use substitution to form and solve a quadratic equation in order to solve a related equation
4.4 Sketch the graphs of cubic polynomials and their moduli, when given as a product of three linear factors
4.5 Solve graphically cubic inequalities of the form • f(x) ⩾ d • f(x) > d • f(x) ⩽ d • f(x) < d where f(x) is a product of three linear factors and d is a constant
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4.5 Solve graphically cubic inequalities of the form • f(x) ⩾ d • f(x) > d • f(x) ⩽ d • f(x) < d where f(x) is a product of three linear factors and d is a constant.
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4.5 Solve graphically cubic inequalities of the form • f(x) ⩾ d • f(x) > d • f(x) ⩽ d • f(x) < d where f(x) is a product of three linear factors and d is a constant.
4 Equations, inequalities and graphs- past paper
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